Some Conditions for Uniform Convergence of Integrals

ON CONVERGENCE THEOREMS FOR FUZZY HENSTOCK INTEGRALS

The main purpose of this paper is to establish different types of convergence theorems for fuzzy Henstock integrable functions, introduced by  Wu and Gong cite{wu:hiff}. In fact, we have proved fuzzy uniform convergence theorem, convergence theorem for fuzzy uniform Henstock integrable functions and fuzzy monotone convergence theorem. Finally, a necessary and sufficient condition under which th...

Uniform convergence of single and double sine series and integrals

Uniform connectedness and uniform local connectedness for lattice-valued uniform convergence spaces

We apply Preuss' concept of $mbbe$-connectedness to the categories of lattice-valued uniform convergence spaces and of lattice-valued uniform spaces. A space is uniformly $mbbe$-connected if the only uniformly continuous mappings from the space to a space in the class $mbbe$ are the constant mappings. We develop the basic theory for $mbbe$-connected sets, including the product theorem. Furtherm...

Uniform Convergence in some Limit Theoremsfor Multiple

For n particles diiusing throughout R (or R d), let n;t (A), A 2 B, t 0, be the random measure that counts the number of particles in A at time t. It is shown that for some basic models (Brownian particles with or without branching and diiusion with a simple interaction) the processes f(n;t () ? E n;t ())= p n : t 2 0; M]; 2 C L (R)g, n 2 N, converge in law uniformly in (t;). Previous results c...

Uniform Convergence in some Limit Theorems for Multiple Particle Systems

For n particles di using throughout R or Rd let n t A A B t be the random measure that counts the number of particles in A at time t It is shown that for some basic models Brownian particles with or without branching and di usion with a simple interaction the processes f n t E n t p n t M C L R g n N converge in law uniformly in t Previous results consider only convergence in law uniform in t b...